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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000009061157208 1,830 digits created 2026-08-09

Value

277523918386628059503265995015308627433038359589009435018793934140210040053924828595152486664620833532806055228572812499312137149574790446512230252196312178269185098411850440770547569994705346441227091756893597727896546756446417952686994793042616806141882740833837041432345894253743064413144324396620368542017449717196462593509058862941312415884034882063322969081615251907133286267632442969921634242504791116172766033979168238609378337461904489758542597662096608979729099737758798879212615353433502043902281896964070954549166063668459361426899559893811069643752589453392043362008744171717938271044317235450051862539605789928521946971152027005229538839639495498696734790823611229126177978213031794881843680302160564566729144499681154107277781333608865035648506300879715519442339203611767261196329865930349716045509880307345447849913606233677751868252533497723042127991096662039879455111232517333543135612990009554596570485622236081071481362394586597152627518124958557023859678833396819647060909554945451642446169495555318835186861378034040064457916478802930942888786684457974594168017679686977970836759495733676801145850295811631674640212642899161627558575313300883541484093976681493693278703709167922818622139649898631281427325641747138376074137669860531659646989204564231693670850171719156811254775237036910659364227794469175268740753818942132783752189519841662853451100297854632797802317357505113210981165548841304650067731315417561978153718884991486042211427483684334363410362098177776751109409773888964144474149066675874258424588735825857495588542083926824832501457846855178652597917605485302107684632754320685767179756693359110770841270033358523728020157639196255943397602086839033751318943534077317359573302250715639442980745461210519108810068086113886418992537336958769515711477117494584539822629908482018344771299637660079
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 44 of the certificate chain of a 2,371-digit prime (183 intermediate primes).

Certified number2,371-digit prime
Certificatedownload
Certificate chainshow step 44 of 183

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009061157208 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000009061157208},"decimal":true,"detail":2}}'